MATH
1. What is the area of the six-sided figure above?
(a) 26
(b) 28
(c) 30
(d) 34
(e) 40
Answer: B
3. In the Venn diagram above, the number in each region indicates how many elements are in that region. How many elements are in the intersection of sets Y and Z?
CRITICAL REASONING
Instructions: Each sentence below has one or two blanks, each blank indicating that something has been omitted. Beneath the sentence are five words or sets of word labeled A through E. Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.
1. The movie’s plot was ____: once you knew what befell the hero, you could ____ the fate of the villain.
(a) Convincing . . misinterpret
(b) Misleading . . anticipate
(c) Predictable . . foresee
(d) Ironic . . endorse
(e) Spellbinding . . ignore
Answer: C
2. Scientists wonder what to do with the dead satellites, jettisoned rockets, drifting plant flecks, and other _____ orbiting Earth.
(a) Flotsam (b) reconnaissance (c) decimation (d) raiment (f) sustenance
Answer: A
3. Although aging brings about profound physiological changes, it does not often alter an individual’s _____: an irascible thirty year old will probably still be _____ at seventy.
(a) disposition . . cantankerous
(b) anatomy . . churlish
(c) outlook . . benevolent
(d) personality . . laconic
(e) stature . . robust
Answer: A
4. The commentator characterized the electorate as ______ because it was unpredictable and given to constantly shifting moods.
(a) Mercurial (b) corrosive (c) disingenuous (d) implacable (e) phlegmatic
Answer: A
5. The biologist’s description of the wolf pack was truly ______, devoid of any emotion or personal prejudice.
(a) Dispassionate (b) insubstantial (c) esoteric (d) capricious (e) indignant
Answer: A
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(a) 26
(b) 28
(c) 30
(d) 34
(e) 40
Answer: B
2. If (x
– 2)2 = 25 and x < 0, what is the value of x?
(a) -23
(b) -7
(c) -5
(d) -3
(e) -2
Answer: D
(a) 3
(b) 7
(c) 10
(d) 16
(e) 25
Answer: C
4. If m = t3 for any positive integer t, and if w = m2 + m, what is w in terms of t?
(a) t2 + t
(b) t3
(c) t3 + t
(d) t5 + t3
(e) t6 + t3
Answer: E
5. In the xy-coordinate plane, lines l and q are perpendicular. If line l contains the points (0, 0) and (2, 1), and line q contains the points (2, 1) and (0, t), what is the value of t?
(a) -3
(b) -2
(c) 2
(d) 3
(e) 5
Answer: E
Instructions: Each sentence below has one or two blanks, each blank indicating that something has been omitted. Beneath the sentence are five words or sets of word labeled A through E. Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.
1. The movie’s plot was ____: once you knew what befell the hero, you could ____ the fate of the villain.
(a) Convincing . . misinterpret
(b) Misleading . . anticipate
(c) Predictable . . foresee
(d) Ironic . . endorse
(e) Spellbinding . . ignore
Answer: C
2. Scientists wonder what to do with the dead satellites, jettisoned rockets, drifting plant flecks, and other _____ orbiting Earth.
(a) Flotsam (b) reconnaissance (c) decimation (d) raiment (f) sustenance
Answer: A
3. Although aging brings about profound physiological changes, it does not often alter an individual’s _____: an irascible thirty year old will probably still be _____ at seventy.
(a) disposition . . cantankerous
(b) anatomy . . churlish
(c) outlook . . benevolent
(d) personality . . laconic
(e) stature . . robust
Answer: A
4. The commentator characterized the electorate as ______ because it was unpredictable and given to constantly shifting moods.
(a) Mercurial (b) corrosive (c) disingenuous (d) implacable (e) phlegmatic
Answer: A
5. The biologist’s description of the wolf pack was truly ______, devoid of any emotion or personal prejudice.
(a) Dispassionate (b) insubstantial (c) esoteric (d) capricious (e) indignant
Answer: A